2882139792400 has 240 divisors, whose sum is σ = 7769644407360. Its totient is φ = 1018360627200.

The previous prime is 2882139792391. The next prime is 2882139792401. The reversal of 2882139792400 is 42979312882.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (2882139792401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36476136 + ... + 36555064.

It is an arithmetic number, because the mean of its divisors is an integer number (32373518364).

Almost surely, 2^{2882139792400} is an apocalyptic number.

2882139792400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2882139792400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884822203680).

2882139792400 is an abundant number, since it is smaller than the sum of its proper divisors (4887504614960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2882139792400 is a wasteful number, since it uses less digits than its factorization.

2882139792400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79194 (or 79183 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 2882139792400 in words is "two trillion, eight hundred eighty-two billion, one hundred thirty-nine million, seven hundred ninety-two thousand, four hundred".